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Refined curve counting with tropical geometry

Algebra & Discrete Mathematics

Speaker: Florian Block, UC Berkeley
Location: 1147 MSB
Start time: Mon, Nov 19 2012, 4:10PM

I will review how to count plane curves, both complex and real, by tropical geometry following Mikhalkin. Then I will discuss a new q-analog version of tropical curve counting, that recovers the complex and real version as special cases. The tropical q-counts conjecturally agree with a recent algebra-geometric invariant of Goettsche and Shende.

This is joint work with Lothar Goettsche.